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Area and perimeter of semicircles and quarter circles

7th grade (Year 8 in England) · 16 questions · Common Core: 7.G.B.4 · England: KS3 Geometry and measures, GCSE Foundation Geometry and measures

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Date

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  1. Question 1

    A window is a 10 dm by 10 dm rectangle with a semicircle on top (the semicircle's diameter is the 10 dm side). Find the total area of glass in dm², to 1 decimal place.

    Answer

  2. Question 2

    Find the area of a semicircle with radius 6 cm, to 1 decimal place.

    6 cm

    Answer

  3. Question 3

    A semicircle has diameter 20 cm. Find its perimeter (curved part + straight edge), to 1 decimal place.

    Answer

  4. Question 4

    A window is a 4 dm by 10 dm rectangle with a semicircle on top (the semicircle's diameter is the 4 dm side). Find the total area of glass in dm², to 1 decimal place.

    Answer

  5. Question 5

    Find the area of a semicircle with radius 4 cm, to 1 decimal place.

    4 cm

    Answer

  6. Question 6

    A semicircle has diameter 8 cm. Find its perimeter (curved part + straight edge), to 1 decimal place.

    Answer

  7. Question 7

    A window is a 12 dm by 11 dm rectangle with a semicircle on top (the semicircle's diameter is the 12 dm side). Find the total area of glass in dm², to 1 decimal place.

    Answer

  8. Question 8

    Find the area of a quarter circle with radius 2 cm, to 1 decimal place.

    2 cm

    Answer

  9. Question 9

    A semicircle has diameter 16 cm. Find its perimeter (curved part + straight edge), to 1 decimal place.

    Answer

  10. Question 10

    A window is a 12 dm by 11 dm rectangle with a semicircle on top (the semicircle's diameter is the 12 dm side). Find the total area of glass in dm², to 1 decimal place.

    Answer

  11. Question 11

    Find the area of a quarter circle with radius 5 cm, to 1 decimal place.

    5 cm

    Answer

  12. Question 12

    A semicircle has diameter 20 cm. Find its perimeter (curved part + straight edge), to 1 decimal place.

    Answer

  13. Question 13

    A window is a 8 dm by 4 dm rectangle with a semicircle on top (the semicircle's diameter is the 8 dm side). Find the total area of glass in dm², to 1 decimal place.

    Answer

  14. Question 14

    Find the area of a semicircle with radius 3 cm, to 1 decimal place.

    3 cm

    Answer

  15. Question 15

    A semicircle has diameter 10 cm. Find its perimeter (curved part + straight edge), to 1 decimal place.

    Answer

  16. Question 16

    A window is a 6 dm by 10 dm rectangle with a semicircle on top (the semicircle's diameter is the 6 dm side). Find the total area of glass in dm², to 1 decimal place.

    Answer

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Answer key: Area and perimeter of semicircles and quarter circles

  1. 1. 139.3

  2. 2. 56.5

  3. 3. 51.4

  4. 4. 46.3

  5. 5. 25.1

  6. 6. 20.6

  7. 7. 188.5

  8. 8. 3.1

  9. 9. 41.1

  10. 10. 188.5

  11. 11. 19.6

  12. 12. 51.4

  13. 13. 57.1

  14. 14. 14.1

  15. 15. 25.7

  16. 16. 74.1